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102212220000220 = 225111014600009901
BaseRepresentation
bin10111001111011000100011…
…000100001001011111011100
3111101220101121100112101122221
4113033120203010021133130
5101344121111310001340
61001215351242515124
730346406044655161
oct2717304304113734
9441811540471587
10102212220000220
112a627a605831a0
12b5694b5805aa4
1345057565cb835
141b351526ac068
15bc3b9394c44a
hex5cf6231097dc

102212220000220 has 48 divisors (see below), whose sum is σ = 236477309042016. Its totient is φ = 36800079200000.

The previous prime is 102212220000203. The next prime is 102212220000269. The reversal of 102212220000220 is 22000022212201.

It is a junction number, because it is equal to n+sod(n) for n = 102212220000194 and 102212220000203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2299982731 + ... + 2300027170.

It is an arithmetic number, because the mean of its divisors is an integer number (4926610605042).

Almost surely, 2102212220000220 is an apocalyptic number.

102212220000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212220000220 is an abundant number, since it is smaller than the sum of its proper divisors (134265089041796).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102212220000220 is a wasteful number, since it uses less digits than its factorization.

102212220000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4600010022 (or 4600010020 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 102212220000220 its reverse (22000022212201), we get a palindrome (124212242212421).

The spelling of 102212220000220 in words is "one hundred two trillion, two hundred twelve billion, two hundred twenty million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 11110 22220 4600009901 9200019802 18400039604 23000049505 46000099010 50600108911 92000198020 101200217822 202400435644 253000544555 464601000001 506001089110 929202000002 1012002178220 1858404000004 2323005000005 4646010000010 5110611000011 9292020000020 10221222000022 20442444000044 25553055000055 51106110000110 102212220000220